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Finding the Fourth Proportional to 8,174.14, 11,280.36 and 4,448.14

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Solution

The fourth proportional to 8,174.14, 11,280.36 and 4,448.14 is: 6,138.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.14 : 11,280.36 = 4,448.14 : x
  2. Step 2: Convert to fraction form
    8,174.14/11,280.36 = 4,448.14/x
  3. Step 3: Cross multiply
    8,174.14x = 11,280.36 × 4,448.14
  4. Step 4: Simplify right side
    8,174.14x = 50,176,620.53
  5. Step 5: Solve for x
    x = 50,176,620.53/8,174.14
  6. Step 6: Final answer
    x = 6,138.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.